The jobs from version 7.0 should have been preserved. That is a minor upgrade from 7.0 to 7.1.
Were you using the Backup4all settings for Current user or for All users? Did that changed?
In your case, now you can open in Backup4all the .bkc catalog files from the backup destination. That will recreate the backup jobs in Backup4all so you can continue the backups.